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Finding the Third Proportional to 156,952 and 239,532

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Solution

The third proportional to 156,952 and 239,532 is: 365,561.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,952 : 239,532 = 239,532 : x
  2. Step 2: Convert to fraction form
    156,952/239,532 = 239,532/x
  3. Step 3: Cross multiply
    156,952x = 239,532 × 239,532
  4. Step 4: Simplify right side
    156,952x = 57,375,579,024
  5. Step 5: Solve for x
    x = 57,375,579,024/156,952
  6. Step 6: Final answer
    x = 365,561.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.